Final answer:
To draw a conclusion for a hypothesis test at α = 0.10 level of significance, compare the p-value to α. If the p-value < α, reject the null hypothesis, otherwise do not reject it. Your conclusion should state the decision about the null hypothesis based on the evidence provided at the given level of significance.
Step-by-step explanation:
To write a conclusion for a hypothesis test at an α = 0.10 level of significance, we need to compare the p-value from our statistical test to the chosen alpha level. If the p-value is less than alpha, we reject the null hypothesis, indicating that our sample provides enough evidence against the null hypothesis at our defined level of significance. Conversely, if the p-value is greater than alpha, we do not reject the null hypothesis, meaning that we do not have enough evidence to claim a significant difference or effect.
For instance, if a statistical test yields a p-value of 0.08, then at a 10% significance level (α = 0.10), we would not reject the null hypothesis. The conclusion would be articulated as follows:
"At the 10 percent significance level, the p-value is not less than 0.10; hence, there is insufficient evidence to reject the null hypothesis."